ID 1464
FullText File
Title Alternative
Definable C^r groups and proper definable actions
Authors
DOI
Journal Title
Bulletin of the Faculty of Education, Wakayama University. Natural science
ISSN
13424645
NCID
AN00257977
Volume
58
Start Page
9
End Page
18
Published Date
2008-02-29
Language
eng
Keywords Alternative
Definable groups
definable C^r groups
o-minimal
definable C^r fiber bundles
definable G sets
definable slices
proper
definable G imbeddings
Abstract Alternative
Let M=(R,+,・,<,...) be an o-minimal expansion of the standard structure R=(R,+,・,<) of the field of real numbers. Let G be a definable C^r group and H a definable C^r subgroup of G. We prove that if M. admits the C^ω (resp. C^∞) cell decomposition or 0 &le; r < ∞, then the orbit map π : G → G
Content Type
Departmental Bulletin Paper
Text Version
publisher
Accession No.
KJ00005091753